The questions are adapted from the 2016 sample mathematics reasoning papers published by the DfE Standards & Testing Agency.
 

1. What number is halfway between 1.4 and 2.1?

    

2. Write the two missing digits to make this long multiplication correct.

   

    

3. Round 124,531 to the nearest 1,000

    

4. A shaded isosceles triangle is drawn inside a rectangle. Calculate the size of angle a.
   
   
   

   

5. Seven children measured their heights.

   What is the mean height of the children? Give your answer in centimeters.

   

    

6. Here is a number written in Roman numerals.

   C X V

   Write the number in figures.

    

7. Large pizzas cost £8.50 each. Small pizzas cost £5.75 each.

   Five children together buy one large pizza and three small pizzas. They share the cost equally. How much does each child pay?

    

8. One gram of gold costs £32.94.
   
   What is the cost of half a kilogram of gold?
    

9. Write the missing number. 
   
   One is done for you.
   
   

   
   
    

10. What is 444 minutes in hours and minutes?

     

The answers are in italic below.

1) 1.75
2) 1; 2
3) 125,000
4) 104 degrees
5) 145cm
6) 115
7) £5.15
8) £16,470
9) 257
10) 7 hours and 24 minutes